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Finding the Fourth Proportional to 22,202.46, 33,295.85 and 6,403.23

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Solution

The fourth proportional to 22,202.46, 33,295.85 and 6,403.23 is: 9,602.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,202.46 : 33,295.85 = 6,403.23 : x
  2. Step 2: Convert to fraction form
    22,202.46/33,295.85 = 6,403.23/x
  3. Step 3: Cross multiply
    22,202.46x = 33,295.85 × 6,403.23
  4. Step 4: Simplify right side
    22,202.46x = 213,200,977.59
  5. Step 5: Solve for x
    x = 213,200,977.59/22,202.46
  6. Step 6: Final answer
    x = 9,602.58

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.